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%I #6 Mar 31 2012 12:36:30
%S 1,1,10,39,464,13117,385689,22773446,2779601106,534016211475
%N Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,3,1,1,0,0,0 for x=0,1,2,3,4,5,6
%C Every 0 is next to 0 3's, every 1 is next to 1 3's, every 2 is next to 2 1's, every 3 is next to 3 1's, every 4 is next to 4 0's, every 5 is next to 5 0's, every 6 is next to 6 0's
%e Some solutions with all values from 0 to 6 for 6X6X6
%e .......1............1............1............1............0............1
%e ......2.3..........2.3..........3.2..........1.3..........4.0..........2.3
%e .....0.1.1........0.1.1........1.1.0........0.2.1........0.0.4........0.1.1
%e ....0.5.0.0......0.4.0.0......0.0.5.0......0.5.0.0......0.5.0.0......0.5.0.0
%e ...4.0.0.6.0....0.5.0.6.0....0.6.0.0.4....0.0.0.6.0....1.2.0.6.0....4.0.0.6.0
%e ..0.0.0.0.0.0..0.0.0.0.0.0..0.0.0.0.0.0..0.0.4.0.0.0..1.3.1.0.0.0..0.0.4.0.0.0
%K nonn
%O 1,3
%A _R. H. Hardin_ Oct 17 2011
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